Answer:
see below
Step-by-step explanation:
5(x + y) + 6(x − y)
Distribute
5x+ 5y + 6x -6y
Combine like terms
11x -y
(5x − 3y) − x + 3x − 5y
Combine like terms
5x -x +3x -3y -5y
7x -8y
4(x + y) − 3(x + y)
Distribute
4x +4y -3x -3y
Combine like terms
x -y
x − 4x + 6y + (14x − 5y)
Combine like terms
x -4x +14x +6y -5y
11x +y
3x + 3y + 2(2x − y)
Distribute
3x+3y +4x -2y
Combine like terms
7x +y
Answer:
There is no enough statistical evidence to reject the hypothesis that the proportion of suburban mall shoppers who had been to a movie in the same month is the same as the proportion downtown.
Step-by-step explanation:
We have to perform an hypothesis test on the difference of proportions to see if there is enough evidence to reject the null hypothesis.
The null and alternative hypothesis are:

The significance level is assumed to be α=0.05
The suburban sample has a proportion of

The downtown sample has a proportion of
The average of proportion is:

The standard deviation of the difference of proportions is:

Then, we can calculate the value of the statistic z

The P-value for this z is:

The P-value is bigger than the significance level, so there is no enough evidence to reject the null hypothesis.
The answer I think I don’t for sure i think it’s d
Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The outcomes of the pair of cubes that result in a sum of 5 are as follows:
(1,4), (2,3), (3,2), (4,1).
Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:
p = 2/4 = 0.5.
More can be learned about probabilities at brainly.com/question/14398287
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